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Finding the Fourth Proportional to 6,352.98, 8,766.54 and 3,699.42

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Solution

The fourth proportional to 6,352.98, 8,766.54 and 3,699.42 is: 5,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.98 : 8,766.54 = 3,699.42 : x
  2. Step 2: Convert to fraction form
    6,352.98/8,766.54 = 3,699.42/x
  3. Step 3: Cross multiply
    6,352.98x = 8,766.54 × 3,699.42
  4. Step 4: Simplify right side
    6,352.98x = 32,431,113.41
  5. Step 5: Solve for x
    x = 32,431,113.41/6,352.98
  6. Step 6: Final answer
    x = 5,104.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.